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Finding the Fourth Proportional to 474,928,706.80, 710,881,405.80 and 338,879,810.80

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Solution

The fourth proportional to 474,928,706.80, 710,881,405.80 and 338,879,810.80 is: 507,241,092.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,928,706.80 : 710,881,405.80 = 338,879,810.80 : x
  2. Step 2: Convert to fraction form
    474,928,706.80/710,881,405.80 = 338,879,810.80/x
  3. Step 3: Cross multiply
    474,928,706.80x = 710,881,405.80 × 338,879,810.80
  4. Step 4: Simplify right side
    474,928,706.80x = 240,903,356,298,742,016
  5. Step 5: Solve for x
    x = 240,903,356,298,742,016/474,928,706.80
  6. Step 6: Final answer
    x = 507,241,092.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.